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AbstractWe define a quantum-algebra associated to
$$\mathfrak{s}\mathfrak{l}_N $$
as an associative algebra depending on two parameters. For special values of the parameters, this algebra becomes… (More)

Here we propose a way to construct generalized Kostka polynomials. Namely, we construct an equivariant filtration on tensor products of irreducible representations. Further, we discuss properties of… (More)

- Boris Feigin, Boris Tsygan
- 1987

Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of GLn. We construct the action of the Yangian of sln in the cohomology of… (More)

We consider the lower central series of the free associative algebra An with n generators as a Lie algebra. We consider the associated graded Lie algebra. It is shown that this Lie algebra has a huge… (More)

We introduce a unital associative algebra A over degenerate CP 1. We show that A is a commutative algebra and whose Poincaré series is given by the number of partitions. Thereby we can regard A as a… (More)